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Finding the Fourth Proportional to 32,187.44, 44,403.60 and 20,078

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Solution

The fourth proportional to 32,187.44, 44,403.60 and 20,078 is: 27,698.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,187.44 : 44,403.60 = 20,078 : x
  2. Step 2: Convert to fraction form
    32,187.44/44,403.60 = 20,078/x
  3. Step 3: Cross multiply
    32,187.44x = 44,403.60 × 20,078
  4. Step 4: Simplify right side
    32,187.44x = 891,535,480.80
  5. Step 5: Solve for x
    x = 891,535,480.80/32,187.44
  6. Step 6: Final answer
    x = 27,698.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.